An Efficient Method for Designing Low-Delay Nonuniform Oversampled M-channel Filterbanks

This paper proposes an efficient method for designing oversampled nearly perfect reconstruction (NPR) M-channel nonuniform filterbanks (NUFBs) with an arbitrary delay. NUFBs considered in this paper are generated by joining two or more uniform sections with a transition filter (TF) in between every two adjacent sections. The uniform sections are generated by using the generalized DFT (GDFT) modulation of one prototype filter per section and are designed by using semidefinite programming and/or second-order cone programming. The complex-valued TFs are designed by utilizing the frequency-sampling technique (FST) for designing FIR filters. The performance of the proposed design method is shown by means of an example.